Details

Time bar (total: 10.2s)

sample18.0ms

Algorithm
intervals
Results
6.0ms303×body80valid

simplify8.0ms

Counts
1 → 1
Iterations
IterNodes
done16
416
315
212
18
05

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.1b

localize7.0ms

Local error

Found 1 expressions with local error:

6.9b
(/ (* x y) z)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
6×add-cbrt-cube add-exp-log
3×add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
2×cbrt-undiv div-exp
1×expm1-log1p-u pow1 clear-num frac-2neg prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
15.0ms
(/ (* x y) z)

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(/ (* x y) z)

simplify895.0ms

Counts
26 → 26
Iterations
IterNodes
done5000
2627
1120
050

prune173.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

5.4b
(/ x (/ z y))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×associate-/r*
6×add-cbrt-cube add-exp-log
5×div-inv
3×cbrt-undiv div-exp associate-/l*
1×expm1-log1p-u pow1 clear-num frac-2neg associate-/r/ log1p-expm1-u add-log-exp
Counts
1 → 72
Calls
1 calls:
16.0ms
(/ x (/ z y))

series32.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(/ x (/ z y))

simplify1.2s

Counts
75 → 75
Iterations
IterNodes
done5000
21686
1376
0152

prune448.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

5.4b
(* x (/ y z))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×*-un-lft-identity add-cube-cbrt
6×add-cbrt-cube add-exp-log
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×expm1-log1p-u cbrt-undiv div-exp pow-prod-down associate-*r/ *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
20.0ms
(* x (/ y z))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(* x (/ y z))

simplify2.4s

Counts
37 → 37
Iterations
IterNodes
done5000
34653
2674
1180
071

prune177.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
1.7b
(/ x (/ (cbrt z) y))
3.5b
(* (/ 1 (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) y)))

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
284×times-frac
180×add-sqr-sqrt
149×*-un-lft-identity
145×add-cube-cbrt
87×add-exp-log
72×cbrt-prod
71×associate-*r*
36×div-exp
35×add-cbrt-cube
30×prod-exp
22×associate-/r*
18×cbrt-undiv
12×cbrt-unprod unswap-sqr
10×div-inv
7×associate-*l*
6×pow1 rec-exp 1-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/l*
2×pow1/3 associate-/r/
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 268
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
17.0ms
(/ x (/ (cbrt z) y))
130.0ms
(* (/ 1 (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) y)))

series829.0ms

Counts
4 → 12
Calls
4 calls:
259.0ms
(cbrt z)
263.0ms
(cbrt z)
200.0ms
(/ x (/ (cbrt z) y))
106.0ms
(* (/ 1 (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) y)))

simplify1.1s

Counts
280 → 280
Iterations
IterNodes
done5000
11343
0387

prune1.6s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes320.0ms

Accuracy

85.2% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 6.1b

bsearch1.0ms

simplify6.0ms

Iterations
IterNodes
done31
131
025

end0.0ms

sample632.0ms

Algorithm
intervals
Results
287.0ms9616×body80valid